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Finding the Third Proportional to 139,838,724 and 211,700,142

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Solution

The third proportional to 139,838,724 and 211,700,142 is: 320,490,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838,724 : 211,700,142 = 211,700,142 : x
  2. Step 2: Convert to fraction form
    139,838,724/211,700,142 = 211,700,142/x
  3. Step 3: Cross multiply
    139,838,724x = 211,700,142 × 211,700,142
  4. Step 4: Simplify right side
    139,838,724x = 44,816,950,122,820,160
  5. Step 5: Solve for x
    x = 44,816,950,122,820,160/139,838,724
  6. Step 6: Final answer
    x = 320,490,267.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.